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Finding the Third Proportional to 116,707.78 and 185,267.53

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Solution

The third proportional to 116,707.78 and 185,267.53 is: 294,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,707.78 : 185,267.53 = 185,267.53 : x
  2. Step 2: Convert to fraction form
    116,707.78/185,267.53 = 185,267.53/x
  3. Step 3: Cross multiply
    116,707.78x = 185,267.53 × 185,267.53
  4. Step 4: Simplify right side
    116,707.78x = 34,324,058,135.47
  5. Step 5: Solve for x
    x = 34,324,058,135.47/116,707.78
  6. Step 6: Final answer
    x = 294,102.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.